expm1 (example 3.7)

Time bar (total: 777.0ms)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
100%50%0%50%0%0%0%1
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample378.0ms (48.7%)

Memory
42.7MiB live, 602.4MiB allocated; 83ms collecting garbage
Samples
207.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-expm1: 59.0ms (97.2% of total)
adjust: 2.0ms (3.3% of total)
Bogosity

preprocess27.0ms (3.5%)

Memory
-23.1MiB live, 22.1MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
12914
29614
361214
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.6%
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Compiler

Compiled 8 to 8 computations (0% saved)

series6.0ms (0.8%)

Memory
17.7MiB live, 17.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03594
Stop Event
iter-limit
Counts
4 → 10
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
Outputs
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (exp x) (exp.f64 x))
Calls

3 calls:

TimeVariablePoint
0.0ms
x
-inf
0.0ms
x
inf
0.0ms
x
0

rewrite153.0ms (19.7%)

Memory
-8.3MiB live, 205.0MiB allocated; 101ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1348
21048
34798
041176
Stop Event
iter-limit
node-limit
iter-limit
Counts
4 → 301
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
Outputs
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (+.f64 #s(literal -1 binary64) (cosh.f64 x)))) (+.f64 #s(literal -1 binary64) (cosh.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (sinh.f64 x))) (sinh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (+.f64 #s(literal -1 binary64) (cosh.f64 x)))) (+.f64 #s(literal -1 binary64) (cosh.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))) (sinh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sinh.f64 x)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (expm1.f64 x))) (expm1.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) (exp.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (fma.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (exp.f64 x) #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (sinh.f64 x) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 4 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 4 binary64))) #s(literal -8 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 4 binary64))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal -2 binary64))) #s(literal -8 binary64))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))) #s(literal -8 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))) #s(literal -8 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal -2 binary64))) #s(literal -8 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (+.f64 #s(literal -1 binary64) (cosh.f64 x))) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 x)))
(/.f64 (-.f64 (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) (*.f64 (cosh.f64 x) (cosh.f64 x))) (-.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x)))
(/.f64 (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))) (-.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (+.f64 #s(literal -1 binary64) (cosh.f64 x))) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (+.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (-.f64 #s(literal 1 binary64) (cosh.f64 x)))) (+.f64 (sinh.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (sinh.f64 x)) (-.f64 #s(literal 1 binary64) (sinh.f64 x)))) (+.f64 (cosh.f64 x) (-.f64 #s(literal 1 binary64) (sinh.f64 x))))
(/.f64 (-.f64 (*.f64 (expm1.f64 x) (expm1.f64 x)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (expm1.f64 x))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (*.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (-.f64 (cosh.f64 x) #s(literal 1 binary64))) (*.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (fma.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)) (*.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 (sinh.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (sinh.f64 x)) (-.f64 #s(literal 1 binary64) (sinh.f64 x)) (*.f64 (cosh.f64 x) (-.f64 #s(literal 1 binary64) (sinh.f64 x))))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (expm1.f64 x) (expm1.f64 x) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 (expm1.f64 x) #s(literal 0 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) #s(literal -8 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))))) #s(literal -8 binary64))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))) #s(literal -8 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))) #s(literal -8 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))) #s(literal -8 binary64))
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(*.f64 (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 1/4 binary64))
(*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 1/4 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x))
(pow.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (sinh.f64 x) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (cosh.f64 x)))) (+.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cosh.f64 x)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (fma.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (cosh.f64 x)) (*.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))))
(/.f64 (fma.f64 #s(literal -2 binary64) (sinh.f64 x) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) (cosh.f64 x) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal -4 binary64))
(/.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (cosh.f64 x))) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (exp.f64 x)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 8 binary64)) #s(literal 4 binary64) (cosh.f64 x))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64) (cosh.f64 x))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 8 binary64)) #s(literal 4 binary64) (sinh.f64 x))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64) (sinh.f64 x))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (sinh.f64 x))
(fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1/2 binary64) (cosh.f64 x))
(fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64) (sinh.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (cosh.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (sinh.f64 x))
(fma.f64 #s(literal 1 binary64) (sinh.f64 x) (cosh.f64 x))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (sinh.f64 x))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(-.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(exp.f64 x)
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (cosh.f64 x))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 4 binary64)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
#s(literal 1 binary64)

eval31.0ms (4%)

Memory
15.9MiB live, 61.8MiB allocated; 4ms collecting garbage
Compiler

Compiled 4 076 to 857 computations (79% saved)

prune8.0ms (1%)

Memory
-34.5MiB live, 11.2MiB allocated; 4ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New3052307
Fresh000
Picked101
Done000
Total3062308
Accuracy
100.0%
Counts
308 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(expm1.f64 x)
98.6%
#s(approx (- (exp x) 1) x)
Compiler

Compiled 8 to 7 computations (12.5% saved)

series3.0ms (0.3%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02751
Stop Event
iter-limit
Counts
3 → 5
Calls
Call 1
Inputs
#s(approx (- (exp x) 1) x)
x
(expm1.f64 x)
Outputs
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (- (exp x) 1) (expm1.f64 x))
Calls

3 calls:

TimeVariablePoint
0.0ms
x
inf
0.0ms
x
-inf
0.0ms
x
0

rewrite99.0ms (12.7%)

Memory
-17.2MiB live, 178.5MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
067
1347
21047
34797
041257
Stop Event
iter-limit
node-limit
iter-limit
Counts
3 → 204
Calls
Call 1
Inputs
#s(approx (- (exp x) 1) x)
x
(expm1.f64 x)
Outputs
#s(approx (- (exp x) 1) x)
x
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (+.f64 #s(literal -1 binary64) (cosh.f64 x)))) (+.f64 #s(literal -1 binary64) (cosh.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (sinh.f64 x))) (sinh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (+.f64 #s(literal -1 binary64) (cosh.f64 x)))) (+.f64 #s(literal -1 binary64) (cosh.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))) (sinh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sinh.f64 x)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (expm1.f64 x))) (expm1.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) (exp.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (fma.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (exp.f64 x) #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (sinh.f64 x) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 4 binary64))) #s(literal 4 binary64))
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(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (expm1.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (expm1.f64 x))))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (/.f64 x #s(literal -2 binary64))) (sinh.f64 (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (/.f64 x #s(literal -2 binary64))))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 8 binary64)) #s(literal 4 binary64) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (/.f64 x #s(literal -2 binary64))) (sinh.f64 (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (/.f64 x #s(literal -2 binary64))))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) (cosh.f64 x))
(fma.f64 (/.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) (cosh.f64 x))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 8 binary64)) #s(literal 4 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (+.f64 #s(literal -1 binary64) (cosh.f64 x)))) (+.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (sinh.f64 x))) (sinh.f64 x) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (+.f64 #s(literal -1 binary64) (cosh.f64 x)))) (+.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))) (sinh.f64 x) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sinh.f64 x)) (cosh.f64 x))) (cosh.f64 x) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (expm1.f64 x))) (expm1.f64 x) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))) (cosh.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 1/4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64) (cosh.f64 x))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 1/4 binary64) #s(literal -1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 1/4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal 1/4 binary64) (cosh.f64 x))
(fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (/.f64 x #s(literal -2 binary64))) (sinh.f64 (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (/.f64 x #s(literal -2 binary64))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1/2 binary64) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (sinh.f64 x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (cosh.f64 x))
(fma.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) (exp.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (/.f64 x #s(literal -2 binary64))) (sinh.f64 (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (/.f64 x #s(literal -2 binary64))))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (/.f64 x #s(literal -2 binary64))) (sinh.f64 (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (/.f64 x #s(literal -2 binary64))))))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) #s(literal 0 binary64)) #s(literal 2 binary64)))) (sinh.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x #s(literal 0 binary64)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 x #s(literal 0 binary64)) #s(literal 2 binary64)))) (sinh.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sinh.f64 x) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (/.f64 x #s(literal -2 binary64))) (sinh.f64 (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (sinh.f64 x) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (/.f64 x #s(literal -2 binary64))))))
(fma.f64 #s(literal 1 binary64) (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(expm1.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(expm1.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(expm1.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(expm1.f64 x)
(-.f64 (/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (neg.f64 (cosh.f64 x)))
(-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(-.f64 (sinh.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x)))
(-.f64 (cosh.f64 x) (-.f64 #s(literal 1 binary64) (sinh.f64 x)))
(-.f64 (expm1.f64 x) #s(literal 0 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (sinh.f64 x))
(+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (sinh.f64 x) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (/.f64 x #s(literal -2 binary64))) (sinh.f64 (*.f64 x #s(literal 1/2 binary64))))))
(+.f64 (sinh.f64 x) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (/.f64 x #s(literal -2 binary64))))))
(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (expm1.f64 x) #s(literal 0 binary64))
(+.f64 (exp.f64 x) #s(literal -1 binary64))

eval20.0ms (2.5%)

Memory
36.8MiB live, 36.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 744 to 561 computations (79.6% saved)

prune6.0ms (0.8%)

Memory
7.9MiB live, 8.0MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2050205
Fresh000
Picked022
Done000
Total2052207
Accuracy
100.0%
Counts
207 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(expm1.f64 x)
98.6%
#s(approx (- (exp x) 1) x)
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes12.0ms (1.6%)

Memory
-27.8MiB live, 22.3MiB allocated; 3ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
3 → 1
Calls
Call 1
Inputs
#s(approx (- (exp x) 1) x)
Outputs
#s(approx (- (exp x) 1) x)
Call 2
Inputs
#s(approx (- (exp x) 1) x)
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Outputs
(expm1.f64 x)
Calls

6 calls:

6.0ms
x
1.0ms
(-.f64 (exp.f64 x) #s(literal 1 binary64))
1.0ms
(exp.f64 x)
1.0ms
x
1.0ms
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.6%1(exp.f64 x)
98.6%1(-.f64 (exp.f64 x) #s(literal 1 binary64))
98.6%1x
100.0%1(exp.f64 x)
100.0%1(-.f64 (exp.f64 x) #s(literal 1 binary64))
100.0%1x
Compiler

Compiled 26 to 23 computations (11.5% saved)

derivations12.0ms (1.6%)

Memory
24.1MiB live, 24.1MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 8 to 6 computations (25% saved)

preprocess22.0ms (2.8%)

Memory
-28.0MiB live, 59.9MiB allocated; 8ms collecting garbage
Compiler

Compiled 14 to 12 computations (14.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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